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Finding the Third Proportional to 198,609 and 441,352.50

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Solution

The third proportional to 198,609 and 441,352.50 is: 980,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,609 : 441,352.50 = 441,352.50 : x
  2. Step 2: Convert to fraction form
    198,609/441,352.50 = 441,352.50/x
  3. Step 3: Cross multiply
    198,609x = 441,352.50 × 441,352.50
  4. Step 4: Simplify right side
    198,609x = 194,792,029,256.25
  5. Step 5: Solve for x
    x = 194,792,029,256.25/198,609
  6. Step 6: Final answer
    x = 980,781.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.